Theoretical physicist — scattering amplitudes & positive geometry
I look for the hidden geometry behind how particles scatter, reformulating quantum field theory in the language of curves on surfaces, polytopes, and tropical geometry.
Research
My work sits at the meeting point of scattering amplitudes, combinatorics, and geometry — the program sometimes called surfaceology. The recurring idea is that physical quantities are encoded by positive geometries: associahedra and their relatives, configuration spaces of curves on surfaces, and tropical limits that make hard integrals tractable. I'm also interested in the precision QCD side, computing master integrals for Higgs-plus-jet production at the LHC.
Selected work
Demo
Every way of cutting a hexagon into triangles with non-crossing diagonals is one triangulation. There are exactly fourteen — and those fourteen are precisely the vertices of the three-dimensional associahedron, one of the positive geometries at the heart of tree-level scattering amplitudes.
Step through them, or hit play. Adjacent triangulations differ by a single diagonal flip — an edge of the associahedron.
Selected talks